pmm_tools.partial_trace

Functions

Name	Description
`compute_basis`	Compute the basis of the fermionic operators in the Hilbert space.
`reduced_operator`	Compute the operator defined as the outer product of state_e and state_o.
`remove_terms`	Remove the terms in the expression that have support over the subspace.
`separate_subspace`	Separate the operators in the state into two lists: one for the subspace

`compute_basis`function#

def compute_basis(fermions)

Compute the basis of the fermionic operators in the Hilbert space.

Parameters

Name	Type	Description
`fermions`	`list`	List of FermionOp objects representing the fermionic operators.

Returns

symbolic_listlist: List of products of fermionic operators corresponding to the basis states.

def reduced_operator(state_e, state_o, subspace, complement, prefactor=sympy.S.One)

Compute the operator defined as the outer product of state_e and state_o. The reduced operator has support only over the complement of the subspace.

Parameters

Name	Type	Description
`state_e`	`sympy.Expression`	Even ground state.
`state_o`	`sympy.Expression`	Odd ground state.
`subspace`	`list`	List of fermionic operators in the subspace.
`complement`	`list`	List of fermionic operators in the complement of the subspace.

Returns

def remove_terms(expr, subspace)

Remove the terms in the expression that have support over the subspace.

Parameters

Name	Type	Description
`expr`	`sympy.Expression`	The expression to be modified.
`subspace`	`list`	List of fermionic operators in the subspace.

Returns

def separate_subspace(state, subspace)

Separate the operators in the state into two lists: one for the subspace and one for the complement of the subspace.

Parameters

Name	Type	Description
`state`	`sympy.Expression`	The state to be separated.
`subspace`	`list`	List of fermionic operators in the subspace.

Returns